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Graphing Logarithmic Functions

Question 12 • FL-1200330-Algebra 2 CR

What happens to the value of f(x) = log4x as x approaches +∞?

Answer
A
f(x) approaches negative infinity
B
f(x) approaches 0
C
f(x) approaches infinity

Explanation

For a logarithm with base 4, which is greater than 1, the function increases as x increases. As x becomes arbitrarily large, log₄(x) also grows without bound, so f(x) approaches infinity. The correct choice is C, “f(x) approaches infinity.”

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